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Finding the Fourth Proportional to 465,219.66, 697,712.84 and 340,330.62

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Solution

The fourth proportional to 465,219.66, 697,712.84 and 340,330.62 is: 510,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,219.66 : 697,712.84 = 340,330.62 : x
  2. Step 2: Convert to fraction form
    465,219.66/697,712.84 = 340,330.62/x
  3. Step 3: Cross multiply
    465,219.66x = 697,712.84 × 340,330.62
  4. Step 4: Simplify right side
    465,219.66x = 237,453,043,419.16
  5. Step 5: Solve for x
    x = 237,453,043,419.16/465,219.66
  6. Step 6: Final answer
    x = 510,410.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.